Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which:
A(0) is the initial value.
r is the growth rate, as a decimal.
In this problem:
Her initial balance is of $300, hence . A(0)=300
The growth rate is of 15%, hence R =0.15
Then,
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\[/tex]
It will reach $450 after t years, for which A(t) = 450, hence:
[tex]A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9[/tex]
It will take about 2.9 years for Emma's balance to reach $450
Learn more about logarithm here
https://brainly.com/question/247340
#SPJ4 .
If AD=8 and BD=4, what is the length of DC⎯⎯⎯⎯⎯⎯?
The figure shows right triangle C A B with altitude A D to hypotenuse B C.
DC = 4
DC = 20
DC = 8
DC = 16
Answer:
the answer should be 16!
Help please!!
Are these triangles similar
choices:
Both
Neither
Answer:
The blue triangle -- ∆QRS only
Step-by-step explanation:
They have the same angles (49° and 96°) and the third angle would be 35°. The pink triangle has none of the same angles measurements
you are looking toronto corto go to Macon and back (210 mites)
Come and go car Rentcs charges a base rate of $25 dollars and so 20 mit
Interstate cor Rental charges a base rate of $15 dollars and 5025 a miles
Cretestable, graon, and equchon for each plan.
Equation for Come and Go
Equatlon for Interstater
Come and Go
Interstate
150
210
240
270
which plan is the best plan for you. Justify your answer.
Ch) 2 + 2 x 25xb5
please answer the question bellow, i'm so confused lol
Answer:
12
Step-by-step explanation:
find the lcm between 6 and 4
Answer:
He will wear both on the 12th day.
Step-by-step explanation:
Find the LCM (Least Common Multiple) of 4 and 6.
Prime factor both numbers:
4 = 2²
6 = 2 · 3
LCM = 2² · 3
= 12
To find the LCM, take the greatest common numbers (2² and 3) and multiply them.
This method works well with very big numbers.
Two sides of a triangle measure
8 centimeters and 13 centimeters. Which
of the following could not be the length of
the third side?
A 4 cm
C 14 cm
B 8 cm
D 18 cm
Answer:
A.
Step-by-step explanation:
4 + 8 = 12 which is < 13.
Answer:
4+8 is 12
Step-by-step explanation:
12 is less than 13 which cannot make this a triangle
solve the system of linear equation by graphing
Answer:
Step-by-step explanation:
x + 2 = -1/2x + 2
3/2x + 2 = 2
3/2x = 0
x = 0
y = 0 + 2
y = 2
(0, 2)
Evaluate 7x2 - 4y for x = -6 & y = 9.
Please help
Cameron will spin a spinner that is divided into four sections. He will then flip two coins. How many outcomes are possible?
A. 2
B. 4
C. 8
D. 16
Answer:
16 outcomes
Step-by-step explanation:
4 outcomes for spinner
2 outcomes for 1st coin
2 outcomes for 2nd coin
4 x 2 x 2 = 16
Which number is an irrational number?
1. 50
2. 36
3. 100
4. 81
Answer:
36
Step-by-step explanation:
Answer:
50 and that line thingy
Step-by-step explanation:
uh
AC =
Round your answer to the nearest hundredth.
?
с
A
20°
2
B
It’s 1.88
Answer:
AC=1.88
Step-by-step explanation:
cos 20 = AC/2
0.9397 = AC/2
AC = 1.88
the area of the farm is 600 square meters. The area of the garden is 120 square meters. What percent of the farm is the garden?
stannis wrote a test that was out of 972. he got 6% of the questions wrong. how many wrong answers did he get
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
MN/sin72=10/sin18
MN=30.8
help help 100 pointzzzz plzzzzz helppp
it is Y ma'am or sir!
~iwa-chan
PLSSSSS HELP MEEEE PLSSSSSSS
Thelma and Louise ordered take-out from Belle Taco. Thelma ordered 2 tacos and 1 burrito and paid $3.79. Louise ordered 2 burritos and 1 taco and paid $4.58..
Find the cost for 1 of each of these items.
Answer:56
Step-by-step explanation:
!$(7(8
If angle DAB is 30 degrees, angle ABD is 60 degrees, and line segment BD has a length of 30, what is the length of side a?
Answer:
The length of side a is 30
Step-by-step explanation:
because the side of an angle is the side it's pointing at which is BD. BD = a = 30
(x% of 60 is 3.006, 10% of 111 is y)
Answer:
x = 5.01%
y = 11.1
Step-by-step explanation:
[tex]\frac{percent}{base} = \frac{rate}{100}[/tex]
Model:
50% of 120 is 60
Rate (%) = 50
Base (of) = 120
Percent (is, part) = 60
Thus, x in the first problem is the rate.
[tex]\frac{3.006}{60} =\frac{x}{100}[/tex]. Cross multiply, and we get:
x = 5.01
To check, multiply 5.01% × 60 = 3.006
For the second problem, multiply 10% with 111 to get the percent, which is 11.1
GUYS HELP ME.. plEASEEEEE
A street performer stands motionless on a column that measures 0.5 m by 0.5 m. If the performer weighs 900 N, what pressure does the performer exert on the pavement below?
Answer:
19000 Pa
Step-by-step explanation:
I need help plz
Find x and y
(45-45-90 formula)
i think itss this 45 45 90 triangle ratio
In a 45 45 90 triangle, the ratios are equal to: 1 : 1 : 2 for angles (45° : 45° : 90°) 1 : 1 : √2 for sides (a : a : a√2)Jun 26, 2020
Over here, we have a 45-45-90 special right triangle.
According to base angle theorem converse, this triangle is a congruent triangle so x = 14.
In a 45-45-90 triangle, the hypotenuse is the leg multiplied by [tex]\sqrt{2}[/tex]
So it would be:
14[tex]\sqrt{2\\}[/tex]
Hope this helps, let me know if you have any questions since it wasn't the best explanation.
Find the mode for this list of numbers
98 ,52,61,36,6,6,19,24,42,4,5,32,,23,82,34
Answer:
Mode of the given frequency is 6 as it is occurring frequently
FOR 15 POINTS ANSWER THESE 3 QUESTIONS AND WILL MARK BRAINLIEST. 1. The courthouse is on the exterior corner of the intersection of any 2 streets. 2. The school and the courthouse are on congruent corresponding angles. 3.The police station forms a linear pair with the courthouse and same-side interior angles with the school.
Answer:
http://collinskarr.weebly.com/uploads/5/7/7/6/57764943/geometrytaskprojectparallellinescityprojectandwritingassignment.pdf
Step-by-step explanation:
i think thes is a life hack thing
i am not a inappropriate robot
(6x+y)(6x-7) What is the answer?
= 6x + 6x - 6x × 7 + 6xy - 7y
36x2 - 42x + 6xy - 7y
MARKING BRAINLIEST PLEASE HELP. Louie's Lemonade is available in 2.5 gallon jugs. A Serving is 8 fl.oz. How many servings are in one jug of lemonade? 1 cup = 8 oz. 1 gallon = 16 cups
Given the similar polygons, what is the value of X?
Answer:
2
Step-by-step explanation:
Answer:
The answer is 20
Step-by-step explanation:
I did the homework and 20 was the correct answer
Activity 3.
Convert the following to the indicated measurement:
1. 86 km
dam
9. 6, 600 min
hr
10. 415° F
2. 2 mi
in
3. 20 in
cm
11. 130 °C
-
F
4. 25.1 gal
الي
12. 2.3 gallon
qt
5. 45 acre
km
13. 632 ft
cord
6. 67.33 at
gal
14. 5.1 lb
grains
7. 90.67 km
ha
15. 1,800 oz
- kg
8. 6 days
Activity 3.
Convert the following to the indicated measurement:
1. 86 km = 8600 dam
9. 6, 600 min = 110 htlrs
10. 415° F = 212.778° c
2. 2 mi = 126720 in
3. 20 in = 50.8 cm
11. 130 °C = 266° F
4. 25.1 gal = 100.4 qt
12. 2.3 gallon = 9.2 qt
5. 45 acre = 0.174 square km
13. 632 ft = 4.937 cords
6. 67.33 qt = 16.832 gallons
14. 5.1 lb = 35700 grains
7. 90.67 km = 9067 hectares
15. 1,800 oz = 51.029 kilograms
8. 6 days = 144 hours = 8640 minutes
(Please heart the answer if you find it helpful, it's a motivation for me to help more people)
please help.
is it increasing or decreasing?
only one answer please.
Answer:
Increase
Step-by-step explanation:
Hope this is correct
Please helpppp i just want to know if i sm doing it right
9514 1404 393
Answer:
b) -9.8t +18
Step-by-step explanation:
b) The instantaneous rate of change is the derivative of the height function. The power rule is separately applied to each term, and the results added.
power rule: d/dx(x^n) = nx^(n-1)
Then the derivative is ...
dh/dt = 2(-4.9t^1) +18(1 ·t^0)
dh/dt = -9.8t +18
__
If you haven't been introduced to derivatives as such, then you find the instantaneous rate of change by finding the average rate of change over a vanishing interval.
[tex]\dfrac{dh}{dt}=\displaystyle\lim\limits_{h\to 0}{ \dfrac{h(t+h)-h(t)}{h}}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{(-4.9(t+h)^2+18(t+h)+23)-(-4.9t^2+18t+23)}{h}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{-4.9(2th+h^2)+18h}{h}=\lim\limits_{h\to 0}{(-9.8t +18 -4.9h)}\\\\ \boxed{\dfrac{dh}{dt}=-9.8t +18}[/tex]
Alex created a map of his neighborhood using a scale of 1 inch = 2 blocks. If his street is 6 blocks long, how long will it be on the map?
a ) 12 inches
b ) 3 inches
c ) 6 inches
d ) 2 inches
there are 5 red marbles, 7 green marbles, 4 black marbles, and 8 blue marbles in a bag. find green or black
Answer:
11/24
Step-by-step explanation:
Answer:
11/24
Step-by-step explanation:
t 7.5 hours at the zoo. If he left at 4:20 pm., what time did he arrive at the zoo
Answer:
The correct answer is 11:50 PM.
Step-by-step explanation: